Решебник по алгебре 11 класс Никольский Параграф 4. Производная Задание 1

\[\boxed{\mathbf{1}\mathbf{.}}\]

\[\textbf{а)}\ \mathrm{\Delta}t = t_{2} - t_{1} = 2 - 1 = 1.\]

\[\textbf{б)}\ s(t) = t^{2}:\]

\[s\left( t_{1} \right) = s(1) = 1^{2} = 1;\]

\[s\left( t_{2} \right) = s(2) = 2^{2} = 4;\]

\[\mathrm{\Delta}s = s\left( t_{2} \right) - s\left( t_{1} \right) = 4 - 1 = 3\]

\[\textbf{в)}\ \mathrm{\Delta}t = 1;\ \ \mathrm{\Delta}s = 3:\]

\[v_{ср} = \frac{\mathrm{\Delta}s}{\mathrm{\Delta}t} = \frac{3}{1} = 3.\]